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Finding the Fourth Proportional to 234,018.40, 322,881.24 and 149,065.60

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Solution

The fourth proportional to 234,018.40, 322,881.24 and 149,065.60 is: 205,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,018.40 : 322,881.24 = 149,065.60 : x
  2. Step 2: Convert to fraction form
    234,018.40/322,881.24 = 149,065.60/x
  3. Step 3: Cross multiply
    234,018.40x = 322,881.24 × 149,065.60
  4. Step 4: Simplify right side
    234,018.40x = 48,130,485,769.34
  5. Step 5: Solve for x
    x = 48,130,485,769.34/234,018.40
  6. Step 6: Final answer
    x = 205,669.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.